log x/3 + log y/2
To simplify the expression log(x/3) + log(y/2), we can use the logarithmic property known as the product rule. The product rule states that log(a) + log(b) is equal to log(a * b).
Applying this rule to the given expression, we have:
log(x/3) + log(y/2) = log((x/3) * (y/2))
To further simplify the expression, we can multiply the fractions:
= log((xy) / (3 * 2))
Next, we can simplify the denominator:
= log(xy / 6)
Finally, using the logarithmic property known as the quotient rule, we can write this as the difference of logarithms:
= log(xy) - log(6)
So, the simplified expression is log(xy) - log(6).